![[Rotational Motion] Calculate The Length L Between The 40N Weight And The Pivot Needed To Balance The](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/2uAMrhYinPcr47IIGJgd1nhjFk4g11IZ.png)
Answers
Answer:
L = 7m
Explanation:
The beam is balanced (not moving), so the moments about the pivot have to sum to 0.
Let x = dist. from pivot to the 10N ↓ force
CCW rotation is +
CW rotation is -
(100 N)(3 m) - (10 N)(x) - (40 N)(L) = 0
300 N·m - (10 N)(x) - (40 N)(L) = 0 divide by 10 on both sides
30 - x - 4L = 0
x + 4L = 30
10N is the Weight of the beam, so it is at the midpoint of the beam.
x = 5 - 3 = 2 m substitute into the equation above:
2 + 4L = 30
4L = 30 - 2 = 28
L = 28/4 = 7 m
Related Questions
A solution of ethanol is pumped to a vessel 25 m above a reference level through a 25-mm-inside-diameter steel pipe at a rate of 10 m3 /h. The length of pipe is 30 m and contains two elbows with friction equivalent to 20 diameters each. Compute the power requirements of the pump. Solution properties include density of 975 kg/m3 and viscosity of 4 3 1024 Pa s
Answers
To compute the power requirements of the pump, we need to determine the head loss and the pump's efficiency. The head loss in the pipeline is given by the Darcy-Weisbach equation:
hL = f (L / D) (V^2 / 2g)
where hL is the head loss, f is the friction factor, L is the length of the pipe, D is the inside diameter of the pipe, V is the average fluid velocity, and g is the acceleration due to gravity.
First, we need to calculate the fluid velocity:
Q = A * V
where Q is the flow rate, A is the cross-sectional area of the pipe, and V is the fluid velocity.
The cross-sectional area of the pipe is:
A = π/4 * D^2
A = π/4 * (0.025 m)^2
A = 4.91 x 10^-4 m^2
So, the fluid velocity is:
V = Q / A
V = 10 m^3/h / (3600 s/h) / (4.91 x 10^-4 m^2)
V = 5.04 m/s
Next, we need to calculate the Reynolds number to determine the friction factor:
Re = (ρVD) / μ
where ρ is the fluid density and μ is the fluid viscosity.
Re = (975 kg/m^3)(5.04 m/s)(0.025 m) / (4.3 x 10^-4 Pa s)
Re = 5.73 x 10^5
Using the Moody chart or a Colebrook equation solver, we can determine the friction factor for the given Reynolds number and roughness of the steel pipe. For simplicity, we will assume a friction factor of 0.02.
The head loss due to friction in the pipe is:
hL = f (L / D) (V^2 / 2g)
hL = 0.02 (30 m / 0.025 m) (5.04 m/s)^2 / (2 x 9.81 m/s^2)
hL = 24.4 m
The head loss due to the two elbows is:
hL = K (V^2 / 2g)
where K is the equivalent length of the elbow in diameters and is equal to 20 diameters each. From a piping handbook, K for a long radius 90° elbow is approximately 30 diameters.
hL = 30 (5.04 m/s)^2 / (2 x 9.81 m/s^2)
hL = 7.82 m
The total head loss is:
hL_total = hL_friction + hL_elbows
hL_total = 24.4 m + 7.82 m
hL_total = 32.2 m
The power required by the pump is:
P = ρQhL_total / η
where η is the pump efficiency.
We will assume a pump efficiency of 75%.
P = (975 kg/m^3)(10 m^3/h)(3600 s/h)(32.2 m)/(0.75)
P = 1.13 x 10^6 W or 1.13 MW
Therefore, the power requirements of the pump are 1.13 MW.
What is the S-P difference (sec)?
What is the amplitude (mm)?
What is the distance (km)?
What is the magnitude (M)?
Answers
(a) The S-P difference of the wave is determined as is 40 sec.
(b) The amplitude of the wave is determined as is 10 mm
(c) The distance of the wave is determined as is 380 km
(d) The magnitude of the wave is determined as is 4.5
What is amplitude of a wave?The amplitude of a wave is the maximum displacement or distance that a wave moves from its rest position to its crest (the highest point) or trough (the lowest point). In other words, it is the measure of the strength or intensity of a wave.
Question 1:
From the graph, the S-P difference, that is between S and P = 40 s - 0 s
= 40 s
Question 2:
The distance (km) corresponding to 40 sec is 380 km.
Question 3:
The amplitude of the wave is the maximum displacement of the wave and it is equal to 10 mm.
Question 4:
The corresponding magnitude of the wave is 4.5.
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A block is dropped from rest. It takes a time t, to fall the first third of the distance. How long does it take to fall the entire distance? a) √3t₁ b) 3t₁ c) 9t₁ d) None of the above to = 0 ti t₂ TITI Vo = 0 S₂ = X S₁ = x/3
Answers
The time it will take the block to fall the entire distance is (a) √3t₁.
How to determine time in motion?Use the equations of motion to solve this problem. The equation to use is:
S = (1/2)gt²
where S = distance, g = acceleration due to gravity, and t = time.
First find the time it takes to fall the first third of the distance. The distance fallen is S₁ = x/3, so:
x/3 = (1/2)gt₁²
Solving for t₁:
t₁ = √((2x)/(3g))
Now, find the time it takes to fall the entire distance. The total distance is S₂ = x, so:
x = (1/2)gt₂²
Solving for t₂:
t₂ = √((2x)/g)
Substituting x with 3S₁:
t₂ = √((6S₁)/g)
Substituting t₁:
t₂ = √((4x)/(3g)) = √(4/3)t₁
Therefore, the answer is (a) √3t₁.
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This model shows DNA, chromosomes, and genes. If B is a cell and C is the nucleus, what is A?
Answers
Based on the information, we can infer that A. represents a Mitochondria.
What is a mitochondria?Mitochondria is a term to refer to the eukaryotic cell organelles responsible for supplying most of the energy necessary for cell activity through the process called cellular respiration.
Based on the information, we can infer that the element that is labeled with the letter A is a mitochondrion because its location is that of a mitochondrion. In this case, the mitochondria is red, although in other models it can be represented with another color. In general, it is given this shape and this color to distinguish it from other elements of the cell.
Note: This question is incomplete. Here is the complete information:
Attached image
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When a wave reaches a surface, the new material absorbs all the energy of the wave.
O True
O False
Answers
Answer: true
Explanation: if the current element is above the current water level then it is true
what is scientific learning
Answers
Answer:
the learning which is gained through observation and experimentation
what happens according to newton if you let an untide ballon go?
Answers
(i) The car starts from rest. From time = 0 to time = 15 s, the car has a constant acceleration to a speed of 28 m/s. From time = 15 s to time = 32 s, the car has a constant speed of 28 m/s. From time = 32 s, the car has a constant deceleration of 2.0 m/s² until it comes to rest. On Fig. 1.1, draw the graph, using the space below for any calculations.
Answers
The total distance covered during all three phases is approximately 882.375 m.
How to solveThe car undergoes three phases: initial acceleration, constant speed, and deceleration.
In the first phase, it accelerates at 1.8667 m/s² for 15 seconds, covering 210.375 m.
In the second phase, it travels at a constant 28 m/s for 17 seconds, covering 476 m.
In the final phase, it decelerates at 2 m/s² for 14 seconds, covering 196 m.
The total distance covered during all three phases is approximately 882.375 m.
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dx=7.14 m and dy=-7.55 m find the direction
Answers
Explanation:
arctan ( -7.55/7.14) = - 46.6 degrees ( or 313.4 degrees)
I need help with this problem
Answers
If we rank these magnets from the strongest to the weakest magnetic field the correct order is 4, 3, 2, 1.
How does the magnetic field relate to the radius of a magnet?The magnetic field and radius are related in the context of a charged particle moving in a circular path under the influence of a magnetic field. When a charged particle moves in a circular path under the influence of a magnetic field, the force on the particle is directed toward the center of the circle. In this force, the radius can be expressed as r = mv / Bq.
This equation shows that the radius of the circular path is directly proportional to the velocity of the particle, and inversely proportional to the magnetic field strength and the charge of the particle.
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Suppose 10.0 g of ice at -10.0C is placed into 300.0 g of water in a 200.0-g copper calorimeter. The final temperature of the water and copper calorimeter is 18.0C.
1) What was the initial common temperature of the water and copper? (Express your answer to three significant figures.)
Answers
The initial common temperature of the water and copper is approximately 2.68°C.
To find the hidden typical temperature of the water and copper, we need to use the norm of protection of energy, which communicates that energy can't be made or obliterated, recently moved or changed beginning with one design then onto the following.
The force lost by the ice as it breaks up is identical to the power obtained by the water and the calorimeter. We can impart this using the recipe:
Q_ice = Q_water + Q_calorimeter
where Q_ice is the force lost by the ice, Q_water is the power procured by the water, and Q_calorimeter is the force gained by the calorimeter.
We can determine the power lost by the ice using the recipe:
Q_ice = m_ice * L_f
where m_ice is the mass of the ice and L_f is the force of blend of water, which is 333 J/g.
Q_ice = (10.0 g) * (333 J/g) = 3330 J
We can sort out the force obtained by the water using the condition:
Q_water = m_water * c * (T_f - T_i)
where m_water is the mass of the water, c is the specific power breaking point of water, which is 4.184 J/g°C, T_f is the last temperature of the water and calorimeter, and T_i is the hidden ordinary temperature of the water and calorimeter.
Q_water = (300.0 g) * (4.184 J/g°C) * (18.0°C - T_i)
We can figure the force obtained by the calorimeter using the recipe:
Q_calorimeter = m_calorimeter * c_calorimeter * (T_f - T_i)
where m_calorimeter is the mass of the calorimeter, which is 200.0 g, c_calorimeter is the specific force breaking point of copper, which is 0.385 J/g°C, T_f is the last temperature of the water and calorimeter, and T_i is the hidden ordinary temperature of the water and calorimeter.
Q_calorimeter = (200.0 g) * (0.385 J/g°C) * (18.0°C - T_i)
Subbing these circumstances into the norm of conservation of energy, we get:
m_ice * L_f = m_water * c * (T_f - T_i) + m_calorimeter * c_calorimeter * (T_f - T_i)
Tending to for T_i, we get:
T_i = T_f - [(m_ice * L_f)/(m_water * c + m_calorimeter * c_calorimeter)]
T_i = 18.0°C - [(10.0 g) * (333 J/g)/(300.0 g * 4.184 J/g°C + 200.0 g * 0.385 J/g°C)]
T_i = 2.68°C
As needs be, the basic ordinary temperature of the water and copper was 2.68°C (conveyed to three immense figures).
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What is the inertia of motion?
Answers
THE INABILITY OF A BODY TO CHANGE ITS STATE OF MOTION BY ITSELF ⚡
._Its_Ńämüđà_.The tendency of matter to resist changes in its velocity or direction of motion is known as the inertia of motion. One of the cornerstones of traditional mechanics, it is also known as the law of inertia.
What is the inertia of motion? This principle states that, without an external force, an object at rest tends to remain at rest and an object in motion tends to maintain its current speed and direction. This means that until a force acts on the moving item to cause it to modify its motion, it will continue to proceed in a straight path and at a constant speed due to inertia of motion.
An object's mass affects how much inertia of motion it possesses. An object's inertia of motion increases with bulk, making it more challenging to alter its speed or direction of motion. This feature of matter has a wide range of practical uses, including predicting how moving objects will behave and creating and building systems that need to precisely regulate motion and forces.
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A 0.1 kg toy train car moving at 1.0 m/s runs into a stationary car with a mass of 0.15 kg. At what speed do they move off together?
Answers
We can use the conservation of momentum principle to solve this problem. According to this principle, the total momentum of a system of objects remains constant if there are no external forces acting on the system. In this case, we can assume that there are no external forces acting on the two cars after they collide, so the total momentum of the system before the collision must be equal to the total momentum of the system after the collision.
The momentum of an object is defined as its mass multiplied by its velocity:
momentum = mass * velocity
Before the collision, the momentum of the first car (m1) is:
p1 = m1 * v1 = (0.1 kg) * (1.0 m/s) = 0.1 kg⋅m/s
Since the second car is stationary, its momentum before the collision is zero:
p2 = m2 * v2 = (0.15 kg) * (0 m/s) = 0 kg⋅m/s
The total momentum of the system before the collision is:
p1 + p2 = 0.1 kg⋅m/s + 0 kg⋅m/s = 0.1 kg⋅m/s
After the collision, the two cars move together with a common velocity (v), so the momentum of the system is:
p = (m1 + m2) * v
We can set the total momentum before the collision equal to the total momentum after the collision:
p1 + p2 = p
0.1 kg⋅m/s + 0 kg⋅m/s = (0.1 kg + 0.15 kg) * v
0.1 kg⋅m/s = 0.25 kg * v
v = 0.1 kg⋅m/s ÷ 0.25 kg
v = 0.4 m/s
Therefore, the two cars move off together at a speed of 0.4 m/s after the collision.
Which of the following is not considered a bloodborne pathogen
Answers
Influenza virus is not considered as a bloodborne pathogen. The correct answer is option D.
Bloodborne pathogens are infectious microorganisms that can cause disease when transmitted through contact with infected human blood or other body fluids.
They can include viruses, bacteria, and other microorganisms that can cause serious illness or even death.
Influenza virus is not considered a bloodborne pathogen because it is primarily a respiratory virus that spreads through droplets when an infected person talks, coughs, or sneezes.
It can also spread through contact with contaminated surfaces or objects, but it is not primarily transmitted through contact with blood or other body fluids.
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The probable question may be:
Which of the following is not considered a bloodborne pathogen
A. Hepatitis B virus
B. Human immunodeficiency virus (HIV)
C. Hepatitis C virus
D. Influenza virus
1. solve this!!! pls help
Answers
The angle of arc m RNW is 60°, given that M is the center and RE and AN are diameters.
How to calculate arc angle?Since RE and AN are diameters, we know that ∠REO and ∠ANO are right angles, where O is the center of the circle. Since M is also the center of the circle:
m∠RMO = 180° - m∠RMN = 80°
m∠EMO = 180° - m∠EMW = 140°
Since ∠RMO and ∠EMO share a common vertex and their non-common sides are radii of the circle, they are congruent. Therefore:
m∠RMO = m∠EMO
80° = 140° - m∠RNW
m∠RNW = 60°
So m RNW = 60°.
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Image transcribed:
10.5.5 Your Turn! HOMEWORK
1. In Circle M, m∠RMN = 100° and m∠EMW = 40°. Calculate m RNW given that M is the center and RE and AN are diameters.
how old is alizea Martínez
Answers
Answer: She passed at 19 years old.
Explanation:
Which of the rays drawn above would be correct as the light goes from the air into the water? (5 points)
A
B
C
Answers
Answer:
First option A
Explanation:
Since the light is passing from air (less dense) into water (more dense), it is bends downwards.
The answer above is wrong because like I mentioned light bends when it goes through a medium and option B doesn't match that, so please don't use that answer.
Hope I helped and have a great day ahead.
A generator that is not producing voltage or current may have an open stator winding. True or False?
Answers
Eli is a 9-year-old and his friend has asked him to share his test answers. Eli refuses to let his friend cheat off his paper because he does not want to get in trouble with the teacher Given Eli’s age and response, which stage of moral development did he demonstrate:
Group of answer choices
Preoperational
Conventional
Preconventional
Postconventional
Answers
The stage of moral development Eli demonstrated is Preconventional.
The early stage of moral development can be seen in preconventional morality. Up until about age nine, it persists. Children's decisions at this age are mostly influenced by what adults expect of them and the repercussions of disobeying them.
Morality is externally regulated at the preconventional level. In order to avoid punishment or gain rewards, people abide by the rules that are set forth by authority figures. According to this viewpoint, what is morally correct depends on one's ability to get away with it or what will make them feel good about themselves.
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Which of the following occurs when an oscillating spring system reaches its equilibrium position?
The kinetic energy is at its maximum.
The restoring force is at its maximum.
The potential energy is at its maximum.
The velocity is 0.
Answers
Answer: Velocity=0
Explanation: At equilibrium the spring system is not moving.
Mel adjusted, in a futile attempt to strengthen his pectoral muscles, stretches a spring exercise device 0.73 meters by exerting a force of 177N. What is the stiffness constant
Answers
In the case, Mel stretches a spring exercise device by 0.73 meters with a force of 177 N. We can use Hooke's law, which states that the force applied to a spring is directly proportional to the displacement of the spring from its equilibrium position, to calculate the stiffness constant.
Hooke's law is given by the equation:
F = kx, where F is the force applied to the spring, k is the stiffness constant, and x is the displacement of the spring from its equilibrium position.
Plugging in the given values:
Force (F) = 177 N Displacement (x) = 0.73 m
We can rearrange the equation to solve for the stiffness constant (k):
k = F / x
Plugging in the values:
k = 177 N / 0.73 m
k ≈ 242.47 N/m (rounded to two decimal places)
Therefore, the stiffness constant of the spring exercise device is approximately 242.47 N/m.
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How many centimeters is half of a 87.3 km road?
Your result must be in multiples of 108 cm. That means if, for example, you get a result of a
9.2200x108 just type 9.2200 in the answer box. Include four digit after the decimal point and
maximum of 1% of error is accepted in your answer.
Answers
Half of 87.3 km is 43.65 km.
To convert km to cm, we need to multiply by 100,000 (since there are 100,000 cm in 1 km).
So, 43.65 km = 43.65 x 100,000 = 4,365,000 cm.
To express the answer in multiples of 108 cm, we need to divide by 108 and round to four decimal places.
4,365,000 cm ÷ 108 = 40,416.6667
Rounding to four decimal places gives us 40.4167.
Therefore, half of an 87.3 km road is approximately 40.4167 x 108 cm.
What pressure does a 500N - pound girl produce while standing on the floor if the area of the sole of one of her shoes is 60 cm²?. pleaaasee guysss help meee
Answers
The pressure exerted by the girl is approximately 833,333.33 Pa (Pascals).
Can the potential of a non uniform charged sphere be the same as that of a point charge? Explain in details
Answers
No. The potential of a non-uniform charged sphere cannot be the same as that of a point charge.
Non-uniform charged sphere as a point chargeThe potential at any point in space is determined by the distribution of charge within the system, and a non-uniform charged sphere has a different charge distribution than a point charge.
A point charge has all of its charges concentrated at a single point, while a non-uniform charged sphere has charge distributed throughout its volume.
As a result, the electric field and potential will be different for these two systems, even if they have the same total charge. Therefore, the potential of a non-uniform charged sphere cannot be the same as that of a point charge.
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Kinetic energy depends only on a system's_
Select all that apply
>
acceleration
height
mass
2
speed
volume
Answers
Answer: mass and speed
Explanation: Remember kinetic energy equals 1/2mv^2 so it is dependent on mass and velocity which is speed.
Some people think that we should try to live outside of the Earth (on the Moon, or even on Mars, for example). Write your ideas about this. Will this be possible some day soon? When will this happen? How are we going to live there? What will be different up there?
Answers
Living outside the Earth, on the Moon or Mars, is a future possibility with continued research.
Living outside of the earthThe idea of living outside of Earth has been a subject of interest for many years. While it may seem like a daunting task, it is definitely possible. Advancements in technology have made it easier to explore space and even establish human settlements on other planets.
Living on the Moon or Mars would require creating sustainable ecosystems that provide food, water, and oxygen for the settlers. It would also require building living quarters that can withstand the harsh environmental conditions on these planets.
However, we are still a long way from achieving this goal, and it will likely take several decades or even centuries before we can establish a permanent human presence on another planet.
Nonetheless, with continued research and development, we may one day be able to call another planet our home.
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Ritalin and the pain medication Demerol have a high risk of dependence but may be used for medicinal purposes under a doctor's supervision. These substances are _____ of the CSA list.
Answers
Ritalin and Demerol are both controlled substances that have a high risk of abuse and dependence.
What is the list?Schedule II drugs are believed to have a high abuse potential that could lead to severe psychological or physical dependence. They do, however, occasionally have other known medical applications and can be prescribed by a licensed healthcare provider.
Ritalin is an example of a stimulant, whereas Demerol is an example of an opioid. Thus the drugs that have been mentioned here are drugs that are strictly controlled.
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What is the natural period of oscillation of your leg when you march? Compute your velocity? Explain your answer; make comments. (Please use formula and explain with your words clearly)
Electric Electronics Engineering course - Vibrations and Titrations
Answers
The natural period of oscillation of a leg when marching is the time it takes for one complete cycle of oscillation. It can be calculated using the formula:
T = 2π √(L/g)
What is the oscillation about?Where T is the natural period of oscillation, L is the length of the leg, and g is the acceleration due to gravity (9.81 m/s^2).
Assuming an average leg length of 1 meter, the natural period of oscillation of a leg is:
T = 2π √(1/9.81) ≈ 0.64 seconds
To compute the velocity of the leg during the march, we can use the formula:
v = 2πL/T
where v is the velocity, L is the length of the leg, and T is the natural period of oscillation.
Substituting the values, we get:
v = 2π(1)/(0.64) ≈ 9.8 m/s
Therefore, This means that during the march, the leg moves back and forth with a velocity of approximately 9.8 meters per second. It's important to note that this calculation assumes a simple harmonic motion, which may not be the case in reality due to the complex motion of various joints and muscles involved in marching.
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PLEASE HELP!!! 25 points
Answers
The statement that is true regarding the circuit shown in the question is I₁ > I₃ > I₂ (last option)
How do i know which statement is true?To know the true statement, we shall determine the current flowing through each resistance. Details below:
For resistor 1
Resistance (R₁) = 2 Ω Voltage (V) = 12 V Current (I₁) =?Voltage (V) = Current (I) × resistance (R)
12 = I₁ × 2
Divide both sides by 2
I₁ = 12 / 2
I₁ = 6 A
For resistor 2
Resistance (R₂) = 8 Ω Voltage (V) = 12 V Current (I₂) =?Voltage (V) = Current (I) × resistance (R)
12 = I₂ × 8
Divide both sides by 8
I₂ = 12 / 8
I₂ = 1.5 A
For resistor 3
Resistance (R₃) = 5 Ω Voltage (V) = 12 V Current (I₃) =?Voltage (V) = Current (I) × resistance (R)
12 = I₃ × 5
Divide both sides by 5
I₃ = 12 / 5
I₃ = 2.4 A
From the above calculation, we can see that I₁ > I₃ > I₂.
Thus, we can conclude that the true statement is I₁ > I₃ > I₂ (last option)
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What do you call burning organic waste. SAMBSIO?
Answers
Burning organic waste is often referred to as "incineration.
What is an "incineration?It is a process in which organic waste is burned at high temperatures to convert it into ash and gas. Incineration is often used as a method of waste management to reduce the volume of waste and to eliminate potentially harmful organic materials, such as medical waste or hazardous chemicals.
However, incineration can also produce air pollution and greenhouse gas emissions, and there are concerns about the impact of incineration on human health and the environment. As a result, many communities and governments are exploring alternative methods of waste management, such as recycling and composting.
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